Application of the curvature smoothing technique for four-node quadrilateral Reissner-Mindlin plate element

Nguyen Xuan Hung, Ngo Thanh Phong
Author affiliations

Authors

  • Nguyen Xuan Hung Department of Mathematics and Informatics, University of Natural Sciences -VNU-HCM
  • Ngo Thanh Phong Department of Mathematics and Informatics, University of Natural Sciences -VNU-HCM

DOI:

https://doi.org/10.15625/0866-7136/29/1/5587

Abstract

A quadrilateral element with smoothed curvatures for Reissner-Mindlin structure plates is proposed. A curvature matrix at an arbitrary point is normalized by a non-local approximation over a smoothing function. By choosing a constant smoothed function and applying the divergence theorem, the bending stiffness matrix calculated on boundaries of smoothing elements (smoothing cells) instead of on their interior. Several numerical results are analyzed to demonstrate high reliability and free locking of the proposed method.

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Published

31-03-2007

Issue

Section

Research Article

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